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Finding the Fourth Proportional to 1,022.38, 1,533.59 and 252.88

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Solution

The fourth proportional to 1,022.38, 1,533.59 and 252.88 is: 379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.38 : 1,533.59 = 252.88 : x
  2. Step 2: Convert to fraction form
    1,022.38/1,533.59 = 252.88/x
  3. Step 3: Cross multiply
    1,022.38x = 1,533.59 × 252.88
  4. Step 4: Simplify right side
    1,022.38x = 387,815.84
  5. Step 5: Solve for x
    x = 387,815.84/1,022.38
  6. Step 6: Final answer
    x = 379.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.